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`Umbral calculus' deals with representations of the canonical commutation relations. We present a short exposition of it and discuss how this calculus can be used to discretize continuum models and to construct representations of Lie…

Quantum Physics · Physics 2008-11-26 A. Dimakis , F. Mueller-Hoissen , T. Striker

We study the properties of the B-->pi and B-->K transition form factors in partially quenched QCD by using the approach of partially quenched chiral perturbation theory combined with the static heavy quark limit. We show that the form…

High Energy Physics - Lattice · Physics 2014-11-17 Damir Becirevic , Sasa Prelovsek , Jure Zupan

We present a calculation of the kaon $B$-parameter, $B_K$, using lattice QCD. We use improved staggered valence and sea fermions, the latter generated by the MILC collaboration with $N_f=2+1$ light flavors. To control discretization errors,…

We propose a new fast method to match factorization theorems applicable in different kinematical regions, such as the transverse-momentum-dependent and the collinear factorization theorems in Quantum Chromodynamics. At variance with…

High Energy Physics - Phenomenology · Physics 2018-04-04 Miguel G. Echevarria , Tomas Kasemets , Jean-Philippe Lansberg , Cristian Pisano , Andrea Signori

In this paper we study the contribution of the double parton distributions of gluons to the charmonium production. Despite being suppressed in the heavy quark mass limit, numerically this contribution gives a sizeable correction to the…

High Energy Physics - Phenomenology · Physics 2019-04-26 Ivan Schmidt , Marat Siddikov

We present a lattice-QCD calculation of the $B\to\pi\ell\nu$ semileptonic form factors and a new determination of the CKM matrix element $|V_{ub}|$. We use the MILC asqtad 2+1-flavor lattice configurations at four lattice spacings and…

I review the status of lattice simulations relevant for phenomenological studies of B-physics. Results for much-studied quantities such as f_B, B_B and form-factors for semileptonic decays are presented as well as those for quantities which…

High Energy Physics - Lattice · Physics 2008-11-26 C. T. Sachrajda

In the last few years it has been proposed a one-dimensional factorization of the fermion determinant in lattice QCD with Wilson-type fermions that leads to a block-local action of the auxiliary bosonic fields. Here we propose a…

High Energy Physics - Lattice · Physics 2022-04-20 Leonardo Giusti , Matteo Saccardi

Recently the LHCb experiment found evidence for the existence of two exotic resonances consisting of $c\bar{c}uud$ quarks. Among the possible interpretations is the hadro-charmonium model, in which charmonium is bound "within" a light…

High Energy Physics - Lattice · Physics 2016-11-04 Francesco Knechtli , Maurizio Alberti , Gunnar S. Bali , Sara Collins , Graham Moir , Wolfgang Söldner

The $\ell_2^2$ min-sum $k$-clustering problem is to partition an input set into clusters $C_1,\ldots,C_k$ to minimize $\sum_{i=1}^k\sum_{p,q\in C_i}\|p-q\|_2^2$. Although $\ell_2^2$ min-sum $k$-clustering is NP-hard, it is not known whether…

Data Structures and Algorithms · Computer Science 2025-04-14 Karthik C. S. , Euiwoong Lee , Yuval Rabani , Chris Schwiegelshohn , Samson Zhou

In this work, the branching ratio $\mathcal{B}[B\to K\chi_{c0}(2P)]$ is extracted for the first time through the fit fractions in the newly measured $B\to KD\bar{D}$ process by LHCb. With the rescattering mechanism, this extracted branching…

High Energy Physics - Phenomenology · Physics 2021-09-01 Ming-Xiao Duan , Jun-Zhang Wang , Yu-Shuai Li , Xiang Liu

The forward-backward asymmetry ${\cal A}_{\rm FB}$ in $B\to K^*\ell^+\ell^-$ decay is a sensitive probe of New Physics. Previous studies have focused on the sensitivity in the position of the zero. However, the short distance effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Artyom Hovhannisyan , Wei-Shu Hou , Namit Mahajan

The only known constructive factorization algorithm for linear partial differential operators (LPDOs) is Beals-Kartashova (BK) factorization \cite{bk2005}. One of the most interesting features of BK-factorization: at the beginning all the…

Mathematical Physics · Physics 2007-05-23 Elena Kartashova , Scott McCallum

We compute O(alpha_s) lattice-to-continuum perturbative matching coefficients for the Delta S=2 flavor changing four-quark operators for the Asqtad improved staggered action. In conjunction with lattice simulations with three flavors of…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Becher , Elvira Gamiz , Kirill Melnikov

Lattice calculations of the form factors for $\bar{B}\to D^{(*)}\ell\bar{\nu}$ decays can be used to extract the CKM matrix element $|V_{cb}|$. The Oktay-Kronfeld action is a highly improved version of the Fermilab action, which…

High Energy Physics - Lattice · Physics 2016-12-30 Jon A. Bailey , Jaehoon Leem , Weonjong Lee , Yong-Chull Jang

We simulate QED in a strong constant homogeneous external magnetic field on a euclidean space-time lattice using the Rational Hybrid Monte Carlo method, developed for simulating lattice QCD. Our primary goal is to measure the chiral…

High Energy Physics - Lattice · Physics 2023-11-08 J. B. Kogut , D. K. Sinclair

We give an introduction to the problems faced on the way to a reliable lattice QCD computation of B-physics matrix elements. In particular various approaches for dealing with the large scale introduced by the heaviness of the b-quark are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rainer Sommer

With only the tree level operator, the decay of $\Lambda_b\rightarrow pK$ is predicted to be one order smaller than the experimental data. The QCD penguin effects should be taken into account. In this paper, we explore the one-loop QCD…

High Energy Physics - Phenomenology · Physics 2016-06-22 Jie Zhu , Hong-Wei Ke , Zheng-Tao Wei

We present a detailed analysis of QED corrections to $\bar{B} \to \bar{K} \ell^+ \ell^-$ decays at the double-differential level. Cancellations of soft and collinear divergences are demonstrated analytically using the phase space slicing…

High Energy Physics - Phenomenology · Physics 2021-03-25 Gino Isidori , Saad Nabeebaccus , Roman Zwicky

We consider recent progress in algorithms for generating gauge field configurations that include the dynamical effects of light fermions. We survey what has been achieved in recent state-of-the-art computations, and examine the trade-offs…

High Energy Physics - Lattice · Physics 2009-11-10 A. D. Kennedy
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